• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

The Fencing Problem

Extracts from this document...


Question: A farmer has exactly 1000 metres of fencing, with it she wishes to fence off a plot of level land. She is not concerned about the shape of the plot, but it must have a perimeter of 1000 metres. What she does wish to do is fence off the plot of land, which contains the maximum area. ...read more.


I made many more of these calculations and created a graph. This graph reinforces that 250 x 250 is the rectangle with the largest area which shows that the shapes with the largest area are those with equal sides. Number of Sides Area 3 48111.11 4 62500 5 68800 6 72168.72 7 73890.13 8 75444.17 9 76318.81 10 76942.09 Conclusion Regular polygons have larger areas than irregular polygons, so a rectangle could have the same perimeter as a square but it wouldn't have as much area. ...read more.


Because regular polygons with more sides have a larger area and a circle has an infinite number of sides a circle is the shape with the largest area. But because the relationship between number of sides and area is a curve rather than a straight line a circle has almost the same area as a 360 sided regular polygon or any other shape with a high number of sides. ...read more.

The above preview is unformatted text

This student written piece of work is one of many that can be found in our GCSE Fencing Problem section.

Found what you're looking for?

  • Start learning 29% faster today
  • 150,000+ documents available
  • Just £6.99 a month

Not the one? Search for your essay title...
  • Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

See related essaysSee related essays

Related GCSE Fencing Problem essays

  1. Fencing problem.

    Firstly I will find the area of the triangle the followed by the rectangle that it is places on. This has been shown below: To find the area of the triangle above I am going to make point (F) between (EB).

  2. The Fencing Problem

    This will make it clearer for us to see that the circle is the highest, and also help us see that as the number of sides increase, the area becomes larger. General Formula for N-Gon (Polygon with n number of sides)

  1. Geography Investigation: Residential Areas

    The first major step for my investigation was actually collecting the data so I could investigate my key question efficiently, precisely and accurately. I needed two sets of data for my enquiry to run smoothly, first I needed the data I'd collect myself, i.e.

  2. The Fencing Problem

    Base = 50m Height = 450m 50 ( 450 = 22,500m� Shape Height (metres) Base (metres) Area (Metres squared) Square 250m 250m 62,500m� Rectangle 1 300m 200m 60,000m� Rectangle 2 400m 100m 40,000m� Rectangle 3 450m 50m 22,500m� The above table displays the area of four different quadrilaterals and their dimensions.

  • Over 160,000 pieces
    of student written work
  • Annotated by
    experienced teachers
  • Ideas and feedback to
    improve your own work